10x^2-120x+420=0

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Solution for 10x^2-120x+420=0 equation:


Simplifying
10x2 + -120x + 420 = 0

Reorder the terms:
420 + -120x + 10x2 = 0

Solving
420 + -120x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(42 + -12x + x2) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(42 + -12x + x2)' equal to zero and attempt to solve: Simplifying 42 + -12x + x2 = 0 Solving 42 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + -12x + -42 + x2 = 0 + -42 Reorder the terms: 42 + -42 + -12x + x2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -12x + x2 = 0 + -42 -12x + x2 = 0 + -42 Combine like terms: 0 + -42 = -42 -12x + x2 = -42 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -42 + 36 Reorder the terms: 36 + -12x + x2 = -42 + 36 Combine like terms: -42 + 36 = -6 36 + -12x + x2 = -6 Factor a perfect square on the left side: (x + -6)(x + -6) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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